Numerical Derivatives: First Order, Backward Finite Difference Formulas

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Covers the concept of numerical derivative and the progressive difference approach for computing derivatives.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Covers the definition of derivative, examples, Newton's quotient, and continuity.

Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.

Covers the concept of numerical derivatives of order 1 and the importance of choosing a small fixed value for h.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Covers the optimization of energy systems, focusing on solving equations and numerical methods.

Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.

Explores Runge-Kutta methods to estimate functions at multiple points for improved error estimation.